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AQA GCSE Maths

Topic questions Pure mathematics Indices

Indices

32 questions · 94 marks · about 2 hours

Indices questions

AQA 8300 Indices 32 questions

Paper 1: Non-calculator June 2025 Higher tier, Question 14 4 marks

(a)

Complete the table of values for y = 2

x–10123
y14
[2]
Reveal mark scheme Mark scheme for question 14(a)
(b)

Draw the graph of y = 2x for values of x from –1 to 3

Figure for question 14
[2]
Reveal mark scheme Mark scheme for question 14(b)

Paper 1: Non-calculator November 2023 Foundation tier, Question 22, also on the Higher paper 3 marks

Work out the value of (82 × 8) ÷ (89 ÷ 85) Give your answer as a decimal.

[3]
Reveal mark scheme Mark scheme for question 22

Paper 1: Non-calculator November 2023 Foundation tier, Question 27 5 marks

Question 27, shown as an image

Shape B is a sector of a circle with radius 5cm

Figure for question 27

Which shape has the greater area, A or B? You must show your working.

[5]
Reveal mark scheme Mark scheme for question 27

Paper 1: Non-calculator November 2023 Higher tier, Question 5, also on the Foundation paper 3 marks

Work out the value of (82 × 8) ÷ (89 ÷ 85) Give your answer as a decimal.

[3]
Reveal mark scheme Mark scheme for question 5

Paper 2: Calculator November 2023 Higher tier, Question 27 4 marks

Also involves Exponential functions

g(x) = a × b where a and b are constants. g(0) = 8 and g(3) = 343

Work out the value of g(1)

[4]
Reveal mark scheme Mark scheme for question 27

Paper 2: Calculator June 2023 Higher tier, Question 21 3 marks

Magana decides to put £500 into an account that pays compound interest. She wants to have at least £560 in the account after 3 years. Work out to 1 decimal place the minimum annual interest rate she needs.

[3]
Reveal mark scheme Mark scheme for question 21

Paper 3: Calculator November 2021 Higher tier, Question 23 2 marks

Also involves Powers and roots

The equation of a curve is y = 16

(a)

Circle the point that lies on the curve.

(2, 32) (32, 2) (2, 256) (256, 2)

[1]
Reveal mark scheme Mark scheme for question 23(a)
(b)

A different point on the curve has y-coordinate fraction Work out the x-coordinate.

[1]
Reveal mark scheme Mark scheme for question 23(b)

Paper 3: Calculator November 2019 Foundation tier, Question 30, also on the Higher paper 3 marks

Also involves Ratio

Work out cube root of 512: reciprocal of 0.4 Give your answer in the form n: 1

[3]
Reveal mark scheme Mark scheme for question 30

Paper 3: Calculator November 2018 Foundation tier, Question 13 3 marks

A small square has length x cm A large square has length 15 cm

Figure for question 13

The area of the small square is fraction of the area of the large square. Work out the value of x.

[3]
Reveal mark scheme Mark scheme for question 13

Paper 3: Calculator November 2017 Higher tier, Question 28 5 marks

Also involves Sequences

x – 1 28 y = p × q where p and q are numbers. y = 10 when x = 1 y = 0.3125 when x = 6 Work out the value of y when x = 3

[5]
Reveal mark scheme Mark scheme for question 28

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